We are asked to find the area and perimeter of the given shape. The shape is a 'U' shape with the following dimensions: height of the vertical sides is 30 cm + 43 cm = 73 cm. The length of the top sides of the U shape is (44 cm - 26 cm)/2 = 9 cm. The top vertical sides are 30 cm, the inside width is 26 cm, and the base is 44 cm.
2025/5/23
1. Problem Description
We are asked to find the area and perimeter of the given shape. The shape is a 'U' shape with the following dimensions: height of the vertical sides is 30 cm + 43 cm = 73 cm. The length of the top sides of the U shape is (44 cm - 26 cm)/2 = 9 cm. The top vertical sides are 30 cm, the inside width is 26 cm, and the base is 44 cm.
2. Solution Steps
First, let's find the area. We can divide the shape into three rectangles.
Rectangle 1: left vertical rectangle, width = (44-26)/2 = 9 cm, height = 43 cm + 30 cm = 73 cm.
Rectangle 2: right vertical rectangle, width = (44-26)/2 = 9 cm, height = 43 cm + 30 cm = 73 cm.
Rectangle 3: middle horizontal rectangle, width = 26 cm, height = 43 cm.
Area of Rectangle 1 = cm
Area of Rectangle 2 = cm
Area of Rectangle 3 = cm
Total Area = cm
Now, let's find the perimeter.
Perimeter = 44 + 73 + 9 + 30 + 26 + 30 + 9 + 73 = 294 cm
Perimeter Calculation:
The bottom side: 44 cm
The left side: 43 cm + 30 cm = 73 cm
Top left small width: (44 - 26) / 2 = 9 cm
Top left vertical height: 30 cm
The top middle side: 26 cm
The top right vertical height: 30 cm
Top right small width: (44 - 26) / 2 = 9 cm
The right side: 43 cm + 30 cm = 73 cm
Perimeter = cm
3. Final Answer
Area = 2432 cm
Perimeter = 294 cm